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103253424 = 24314914437
BaseRepresentation
bin1100010011110…
…00010110110000
321012021211001220
412021320112300
5202413102144
614125025040
72362432251
oct611702660
9235254056
10103253424
115331390a
122a6b5180
1318512601
14d9dab28
1590e8919
hex62785b0

103253424 has 40 divisors (see below), whose sum is σ = 268546800. Its totient is φ = 34184448.

The previous prime is 103253401. The next prime is 103253459. The reversal of 103253424 is 424352301.

It is a super-2 number, since 2×1032534242 = 21322539135447552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 103253394 and 103253403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67 + ... + 14370.

It is an arithmetic number, because the mean of its divisors is an integer number (6713670).

Almost surely, 2103253424 is an apocalyptic number.

It is an amenable number.

103253424 is an abundant number, since it is smaller than the sum of its proper divisors (165293376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103253424 is a wasteful number, since it uses less digits than its factorization.

103253424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14597 (or 14591 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 103253424 is about 10161.3691990794. The cubic root of 103253424 is about 469.1389455918.

The spelling of 103253424 in words is "one hundred three million, two hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 149 298 447 596 894 1192 1788 2384 3576 7152 14437 28874 43311 57748 86622 115496 173244 230992 346488 692976 2151113 4302226 6453339 8604452 12906678 17208904 25813356 34417808 51626712 103253424